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INFINITESIMAL CHEREDNIK ALGEBRAS AS W-ALGEBRAS

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Abstract

In this article we establish an isomorphism between universal infinitesimal Cherednik algebras and W-algebras for Lie algebras of the same type and 1-block nilpotent elements. As a consequence we obtain some fundamental results about infinitesimal Cherednik algebras.

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Authors and Affiliations

  1. Department of Mathematics, Northeastern University, Boston, MA, 02115, USA

    I. LOSEV

  2. Department of Mathematics, MIT, Cambridge, MA, 02139, USA

    A. TSYMBALIUK

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  1. I. LOSEV
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  2. A. TSYMBALIUK
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Correspondence to A. TSYMBALIUK.

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Dedicated to Evgeny Borisovich Dynkin on his 90th birthday

*Supported by NSF under grants DMS-0900907, DMS-1161584.

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LOSEV, I., TSYMBALIUK, A. INFINITESIMAL CHEREDNIK ALGEBRAS AS W-ALGEBRAS. Transformation Groups 19, 495–526 (2014). https://doi.org/10.1007/s00031-014-9261-1

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